Unbounded \(M\)-weakly and unbounded \(L\)-weakly compact operators

Unbounded \(M\)-weakly and unbounded \(L\)-weakly compact operators

We introduce the class of unbounded \(M\)-weakly operators and the class of unbounded \(L\)-weakly compact operators. We investigate some properties for these new classification of operators and we study relation between them and \(M\)-weakly compact and \(L\)-weakly compact operators. We also prese...

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Veröffentlicht in:arXiv.org 2021-09
Hauptverfasser: Niktab, Zahra, Azar, Kazem Haghnejad, Razi Alavizadeh, Saba Sadeghi Gavgani
Format: Artikel
Sprache:eng
Schlagworte:
Lattices (mathematics)
Operators (mathematics)
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Zusammenfassung:We introduce the class of unbounded \(M\)-weakly operators and the class of unbounded \(L\)-weakly compact operators. We investigate some properties for these new classification of operators and we study relation between them and \(M\)-weakly compact and \(L\)-weakly compact operators. We also present an operator characterization of Banach lattices with order continuous norm. \keywords{unbounded \(M\)-weakly compact \and unbounded \(L\)-weakly compact \and unbounded norm convergence \and \(M\)-weakly compact \and \(L\)-weakly compact
ISSN:2331-8422